850350312 has 288 divisors, whose sum is σ = 2838326400. Its totient is φ = 237758976.

The previous prime is 850350307. The next prime is 850350323. The reversal of 850350312 is 213053058.

850350312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7525168 + ... + 7525280.

It is an arithmetic number, because the mean of its divisors is an integer number (9855300).

Almost surely, 2^850350312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850350312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419163200).

850350312 is an abundant number, since it is smaller than the sum of its proper divisors (1987976088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

850350312 is a wasteful number, since it uses less digits than its factorization.

850350312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 850350312 is about 29160.7666565884. The cubic root of 850350312 is about 947.3983524228.

The spelling of 850350312 in words is "eight hundred fifty million, three hundred fifty thousand, three hundred twelve".